The Data Below Were Gathered on a Random Sample of 7

question 10

Essay

The data below were gathered on a random sample of 7 male black-footed albatrosses of known age. In an effort to monitor diseases of these animals, biologists would like to be able to estimate the age of animals that have died by flattening their gonads and measuring the resulting area. ​
a)What is the value of the correlation coefficient for these data?
b)What is the equation of the least squares line describing the relationship between x = Gonad Size and y = Age.
c)If these albatrosses are representative of the population, what would you predict to be the age of a male albatross with a gonad size of 50 sq. mm? Show any calculations below.
d)The largest albatross gonad size in the sample was 96 sq mm, with an age of 23.64 years. These animals are thought to live for up to 40 years. Would it be reasonable to use the equation from part (b) above to predict the age for a gonad size of 150 sq mm? Why or why not?

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